Tension on an edge in a graph
DOI:
https://doi.org/10.5269/bspm.51295Abstract
In this paper we introduce the concept of tension on an edge in a graph. The tension on an edge in a graph is the number of geodesics passing through it. We investigate some results and characterizations involving tensions on edges in graphs.
References
1. Atici, M., On The Edge Geodetic Number Of A Graph, International Journal of Computer Mathematics 80(7), 853-861, (
2. Bhargava, K., Dattatreya, N. N., Rajendra, R., On Stress of a Vertex in a Graph, to appear in Palestine Journal of Mathematics.
3. Chartrand, G., Harary, F., & Zhang, P., On the geodetic number of a graph, Networks 39(1), 1-6, (2001).
4. Harary, F., Graph Theory, Addison Wesley, Reading, Mass, (1972).
5. Harary, F., Loukakis, E., & Tsouros, C., The geodetic number of a graph, Mathematical and Computer Modelling 17(11), 89-95, (1993).
2. Bhargava, K., Dattatreya, N. N., Rajendra, R., On Stress of a Vertex in a Graph, to appear in Palestine Journal of Mathematics.
3. Chartrand, G., Harary, F., & Zhang, P., On the geodetic number of a graph, Networks 39(1), 1-6, (2001).
4. Harary, F., Graph Theory, Addison Wesley, Reading, Mass, (1972).
5. Harary, F., Loukakis, E., & Tsouros, C., The geodetic number of a graph, Mathematical and Computer Modelling 17(11), 89-95, (1993).
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Published
2022-12-23
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Research Articles
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